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Finding the Third Proportional to 225,901 and 301,161

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Solution

The third proportional to 225,901 and 301,161 is: 401,494.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,901 : 301,161 = 301,161 : x
  2. Step 2: Convert to fraction form
    225,901/301,161 = 301,161/x
  3. Step 3: Cross multiply
    225,901x = 301,161 × 301,161
  4. Step 4: Simplify right side
    225,901x = 90,697,947,921
  5. Step 5: Solve for x
    x = 90,697,947,921/225,901
  6. Step 6: Final answer
    x = 401,494.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.